14.644 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.011 * * * [progress]: [2/2] Setting up program. 0.014 * [progress]: [Phase 2 of 3] Improving. 0.014 * [simplify]: Simplifying using # : (+ (+ x y) x) 0.014 * * [simplify]: iteration 0 : 4 enodes (cost 5 ) 0.015 * * [simplify]: iteration 1 : 6 enodes (cost 5 ) 0.016 * * [simplify]: iteration 2 : 9 enodes (cost 5 ) 0.017 * * [simplify]: iteration 3 : 11 enodes (cost 5 ) 0.018 * * [simplify]: iteration 4 : 12 enodes (cost 5 ) 0.019 * * [simplify]: iteration done : 12 enodes (cost 5 ) 0.019 * [simplify]: Simplified to: (+ (+ x y) x) 0.019 * * [progress]: iteration 1 / 4 0.019 * * * [progress]: picking best candidate 0.021 * * * * [pick]: Picked # 0.021 * * * [progress]: localizing error 0.025 * * * [progress]: generating rewritten candidates 0.025 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.031 * * * [progress]: generating series expansions 0.031 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.031 * [approximate]: Taking taylor expansion of (+ (* 2 x) y) in (x y) around 0 0.031 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in y 0.031 * [taylor]: Taking taylor expansion of (* 2 x) in y 0.031 * [taylor]: Taking taylor expansion of 2 in y 0.031 * [taylor]: Taking taylor expansion of x in y 0.031 * [taylor]: Taking taylor expansion of y in y 0.031 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in x 0.031 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.031 * [taylor]: Taking taylor expansion of 2 in x 0.031 * [taylor]: Taking taylor expansion of x in x 0.031 * [taylor]: Taking taylor expansion of y in x 0.031 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in x 0.031 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.031 * [taylor]: Taking taylor expansion of 2 in x 0.031 * [taylor]: Taking taylor expansion of x in x 0.031 * [taylor]: Taking taylor expansion of y in x 0.032 * [taylor]: Taking taylor expansion of y in y 0.032 * [taylor]: Taking taylor expansion of 2 in y 0.032 * [taylor]: Taking taylor expansion of 0 in y 0.032 * [taylor]: Taking taylor expansion of 0 in y 0.032 * [approximate]: Taking taylor expansion of (+ (* 2 (/ 1 x)) (/ 1 y)) in (x y) around 0 0.032 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 x)) (/ 1 y)) in y 0.032 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 0.032 * [taylor]: Taking taylor expansion of 2 in y 0.032 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.032 * [taylor]: Taking taylor expansion of x in y 0.032 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.032 * [taylor]: Taking taylor expansion of y in y 0.032 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 x)) (/ 1 y)) in x 0.032 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.032 * [taylor]: Taking taylor expansion of 2 in x 0.032 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.032 * [taylor]: Taking taylor expansion of x in x 0.032 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.032 * [taylor]: Taking taylor expansion of y in x 0.032 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 x)) (/ 1 y)) in x 0.032 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.032 * [taylor]: Taking taylor expansion of 2 in x 0.032 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.032 * [taylor]: Taking taylor expansion of x in x 0.032 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.033 * [taylor]: Taking taylor expansion of y in x 0.033 * [taylor]: Taking taylor expansion of 2 in y 0.033 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.033 * [taylor]: Taking taylor expansion of y in y 0.033 * [taylor]: Taking taylor expansion of 0 in y 0.033 * [taylor]: Taking taylor expansion of 0 in y 0.034 * [taylor]: Taking taylor expansion of 0 in y 0.034 * [approximate]: Taking taylor expansion of (neg (+ (* 2 (/ 1 x)) (/ 1 y))) in (x y) around 0 0.034 * [taylor]: Taking taylor expansion of (neg (+ (* 2 (/ 1 x)) (/ 1 y))) in y 0.034 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 x)) (/ 1 y)) in y 0.034 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 0.034 * [taylor]: Taking taylor expansion of 2 in y 0.034 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.034 * [taylor]: Taking taylor expansion of x in y 0.034 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.034 * [taylor]: Taking taylor expansion of y in y 0.034 * [taylor]: Taking taylor expansion of (neg (+ (* 2 (/ 1 x)) (/ 1 y))) in x 0.034 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 x)) (/ 1 y)) in x 0.034 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.034 * [taylor]: Taking taylor expansion of 2 in x 0.034 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.034 * [taylor]: Taking taylor expansion of x in x 0.034 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.034 * [taylor]: Taking taylor expansion of y in x 0.034 * [taylor]: Taking taylor expansion of (neg (+ (* 2 (/ 1 x)) (/ 1 y))) in x 0.034 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 x)) (/ 1 y)) in x 0.034 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.034 * [taylor]: Taking taylor expansion of 2 in x 0.034 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.034 * [taylor]: Taking taylor expansion of x in x 0.034 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.034 * [taylor]: Taking taylor expansion of y in x 0.034 * [taylor]: Taking taylor expansion of (neg 2) in y 0.034 * [taylor]: Taking taylor expansion of 2 in y 0.035 * [taylor]: Taking taylor expansion of (neg (/ 1 y)) in y 0.035 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.035 * [taylor]: Taking taylor expansion of y in y 0.035 * [taylor]: Taking taylor expansion of 0 in y 0.035 * [taylor]: Taking taylor expansion of 0 in y 0.035 * [taylor]: Taking taylor expansion of 0 in y 0.036 * * * [progress]: simplifying candidates 0.036 * [simplify]: Simplifying using # : (* (* (exp x) (exp y)) (exp x)) (* (exp (+ x y)) (exp x)) (log (+ (+ x y) x)) (exp (+ (+ x y) x)) (* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x))) (cbrt (+ (+ x y) x)) (* (* (+ (+ x y) x) (+ (+ x y) x)) (+ (+ x y) x)) (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)) (+ (pow (+ x y) 3) (pow x 3)) (+ (* (+ x y) (+ x y)) (- (* x x) (* (+ x y) x))) (- (* (+ x y) (+ x y)) (* x x)) (- (+ x y) x) (+ (+ x y) x) (+ (+ x y) x) (+ y x) (+ (* 2 x) y) (+ (* 2 x) y) (+ (* 2 x) y) 0.037 * * [simplify]: iteration 0 : 32 enodes (cost 145 ) 0.042 * * [simplify]: iteration 1 : 81 enodes (cost 140 ) 0.055 * * [simplify]: iteration 2 : 203 enodes (cost 130 ) 0.108 * * [simplify]: iteration 3 : 604 enodes (cost 122 ) 0.676 * * [simplify]: iteration 4 : 2403 enodes (cost 116 ) 1.932 * * [simplify]: iteration done : 5001 enodes (cost 116 ) 1.933 * [simplify]: Simplified to: (exp (+ (+ x y) x)) (exp (+ (+ x y) x)) (log (+ (+ x y) x)) (exp (+ (+ x y) x)) (* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x))) (cbrt (+ (+ x y) x)) (pow (+ (+ x y) x) 3) (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)) (+ (pow (+ x y) 3) (pow x 3)) (+ (* y (+ x y)) (* x x)) (* y (+ (+ x y) x)) y (+ (+ x y) x) (+ (+ x y) x) (+ x y) (+ (+ x y) x) (+ (+ x y) x) (+ (+ x y) x) 1.933 * * * [progress]: adding candidates to table 1.946 * * [progress]: iteration 2 / 4 1.946 * * * [progress]: picking best candidate 1.949 * * * * [pick]: Picked # 1.949 * * * [progress]: localizing error 1.955 * * * [progress]: generating rewritten candidates 1.955 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 1.962 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 1.970 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 1.978 * * * [progress]: generating series expansions 1.978 * * * * [progress]: [ 1 / 3 ] generating series at (2) 1.978 * [approximate]: Taking taylor expansion of (+ (* 2 x) y) in (x y) around 0 1.978 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in y 1.978 * [taylor]: Taking taylor expansion of (* 2 x) in y 1.978 * [taylor]: Taking taylor expansion of 2 in y 1.978 * [taylor]: Taking taylor expansion of x in y 1.978 * [taylor]: Taking taylor expansion of y in y 1.978 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in x 1.978 * [taylor]: Taking taylor expansion of (* 2 x) in x 1.978 * [taylor]: Taking taylor expansion of 2 in x 1.978 * [taylor]: Taking taylor expansion of x in x 1.978 * [taylor]: Taking taylor expansion of y in x 1.978 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in x 1.979 * [taylor]: Taking taylor expansion of (* 2 x) in x 1.979 * [taylor]: Taking taylor expansion of 2 in x 1.979 * [taylor]: Taking taylor expansion of x in x 1.979 * [taylor]: Taking taylor expansion of y in x 1.979 * [taylor]: Taking taylor expansion of y in y 1.979 * [taylor]: Taking taylor expansion of 2 in y 1.979 * [taylor]: Taking taylor expansion of 0 in y 1.979 * [taylor]: Taking taylor expansion of 0 in y 1.979 * [approximate]: Taking taylor expansion of (+ (* 2 (/ 1 x)) (/ 1 y)) in (x y) around 0 1.979 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 x)) (/ 1 y)) in y 1.979 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 1.979 * [taylor]: Taking taylor expansion of 2 in y 1.979 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.979 * [taylor]: Taking taylor expansion of x in y 1.979 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.979 * [taylor]: Taking taylor expansion of y in y 1.979 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 x)) (/ 1 y)) in x 1.979 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.979 * [taylor]: Taking taylor expansion of 2 in x 1.979 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.979 * [taylor]: Taking taylor expansion of x in x 1.979 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.979 * [taylor]: Taking taylor expansion of y in x 1.979 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 x)) (/ 1 y)) in x 1.980 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.980 * [taylor]: Taking taylor expansion of 2 in x 1.980 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.980 * [taylor]: Taking taylor expansion of x in x 1.980 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.980 * [taylor]: Taking taylor expansion of y in x 1.980 * [taylor]: Taking taylor expansion of 2 in y 1.980 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.980 * [taylor]: Taking taylor expansion of y in y 1.980 * [taylor]: Taking taylor expansion of 0 in y 1.980 * [taylor]: Taking taylor expansion of 0 in y 1.981 * [taylor]: Taking taylor expansion of 0 in y 1.981 * [approximate]: Taking taylor expansion of (* (cbrt -1) (+ (* 2 (/ 1 x)) (/ 1 y))) in (x y) around 0 1.981 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ (* 2 (/ 1 x)) (/ 1 y))) in y 1.981 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.981 * [taylor]: Taking taylor expansion of -1 in y 1.981 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 x)) (/ 1 y)) in y 1.981 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 1.981 * [taylor]: Taking taylor expansion of 2 in y 1.981 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.981 * [taylor]: Taking taylor expansion of x in y 1.981 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.981 * [taylor]: Taking taylor expansion of y in y 1.981 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ (* 2 (/ 1 x)) (/ 1 y))) in x 1.981 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.981 * [taylor]: Taking taylor expansion of -1 in x 1.981 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 x)) (/ 1 y)) in x 1.981 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.981 * [taylor]: Taking taylor expansion of 2 in x 1.981 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.981 * [taylor]: Taking taylor expansion of x in x 1.981 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.981 * [taylor]: Taking taylor expansion of y in x 1.981 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ (* 2 (/ 1 x)) (/ 1 y))) in x 1.981 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.981 * [taylor]: Taking taylor expansion of -1 in x 1.982 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 x)) (/ 1 y)) in x 1.982 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.982 * [taylor]: Taking taylor expansion of 2 in x 1.982 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.982 * [taylor]: Taking taylor expansion of x in x 1.982 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.982 * [taylor]: Taking taylor expansion of y in x 1.982 * [taylor]: Taking taylor expansion of (* 2 (cbrt -1)) in y 1.982 * [taylor]: Taking taylor expansion of 2 in y 1.982 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.982 * [taylor]: Taking taylor expansion of -1 in y 1.982 * [taylor]: Taking taylor expansion of (/ (cbrt -1) y) in y 1.982 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.982 * [taylor]: Taking taylor expansion of -1 in y 1.982 * [taylor]: Taking taylor expansion of y in y 1.983 * [taylor]: Taking taylor expansion of 0 in y 1.983 * [taylor]: Taking taylor expansion of 0 in y 1.984 * [taylor]: Taking taylor expansion of 0 in y 1.985 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 1.985 * [approximate]: Taking taylor expansion of (pow (+ (* 2 x) y) 3) in (x y) around 0 1.985 * [taylor]: Taking taylor expansion of (pow (+ (* 2 x) y) 3) in y 1.985 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in y 1.985 * [taylor]: Taking taylor expansion of (* 2 x) in y 1.985 * [taylor]: Taking taylor expansion of 2 in y 1.985 * [taylor]: Taking taylor expansion of x in y 1.985 * [taylor]: Taking taylor expansion of y in y 1.985 * [taylor]: Taking taylor expansion of (pow (+ (* 2 x) y) 3) in x 1.985 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in x 1.985 * [taylor]: Taking taylor expansion of (* 2 x) in x 1.985 * [taylor]: Taking taylor expansion of 2 in x 1.985 * [taylor]: Taking taylor expansion of x in x 1.985 * [taylor]: Taking taylor expansion of y in x 1.985 * [taylor]: Taking taylor expansion of (pow (+ (* 2 x) y) 3) in x 1.985 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in x 1.985 * [taylor]: Taking taylor expansion of (* 2 x) in x 1.985 * [taylor]: Taking taylor expansion of 2 in x 1.985 * [taylor]: Taking taylor expansion of x in x 1.985 * [taylor]: Taking taylor expansion of y in x 1.986 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.986 * [taylor]: Taking taylor expansion of y in y 1.986 * [taylor]: Taking taylor expansion of (* 6 (pow y 2)) in y 1.986 * [taylor]: Taking taylor expansion of 6 in y 1.986 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.986 * [taylor]: Taking taylor expansion of y in y 1.986 * [taylor]: Taking taylor expansion of (* 12 y) in y 1.986 * [taylor]: Taking taylor expansion of 12 in y 1.986 * [taylor]: Taking taylor expansion of y in y 1.986 * [taylor]: Taking taylor expansion of 8 in y 1.987 * [approximate]: Taking taylor expansion of (pow (+ (* 2 (/ 1 x)) (/ 1 y)) 3) in (x y) around 0 1.987 * [taylor]: Taking taylor expansion of (pow (+ (* 2 (/ 1 x)) (/ 1 y)) 3) in y 1.987 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 x)) (/ 1 y)) in y 1.987 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 1.987 * [taylor]: Taking taylor expansion of 2 in y 1.987 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.987 * [taylor]: Taking taylor expansion of x in y 1.987 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.987 * [taylor]: Taking taylor expansion of y in y 1.987 * [taylor]: Taking taylor expansion of (pow (+ (* 2 (/ 1 x)) (/ 1 y)) 3) in x 1.987 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 x)) (/ 1 y)) in x 1.987 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.987 * [taylor]: Taking taylor expansion of 2 in x 1.987 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.987 * [taylor]: Taking taylor expansion of x in x 1.987 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.987 * [taylor]: Taking taylor expansion of y in x 1.987 * [taylor]: Taking taylor expansion of (pow (+ (* 2 (/ 1 x)) (/ 1 y)) 3) in x 1.987 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 x)) (/ 1 y)) in x 1.987 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.987 * [taylor]: Taking taylor expansion of 2 in x 1.987 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.987 * [taylor]: Taking taylor expansion of x in x 1.987 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.987 * [taylor]: Taking taylor expansion of y in x 1.987 * [taylor]: Taking taylor expansion of 8 in y 1.988 * [taylor]: Taking taylor expansion of (* 12 (/ 1 y)) in y 1.988 * [taylor]: Taking taylor expansion of 12 in y 1.988 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.988 * [taylor]: Taking taylor expansion of y in y 1.988 * [taylor]: Taking taylor expansion of (* 6 (/ 1 (pow y 2))) in y 1.988 * [taylor]: Taking taylor expansion of 6 in y 1.988 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.988 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.988 * [taylor]: Taking taylor expansion of y in y 1.989 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.989 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.989 * [taylor]: Taking taylor expansion of y in y 1.989 * [approximate]: Taking taylor expansion of (pow (neg (+ (* 2 (/ 1 x)) (/ 1 y))) 3) in (x y) around 0 1.989 * [taylor]: Taking taylor expansion of (pow (neg (+ (* 2 (/ 1 x)) (/ 1 y))) 3) in y 1.989 * [taylor]: Taking taylor expansion of (neg (+ (* 2 (/ 1 x)) (/ 1 y))) in y 1.989 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 x)) (/ 1 y)) in y 1.989 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 1.989 * [taylor]: Taking taylor expansion of 2 in y 1.989 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.989 * [taylor]: Taking taylor expansion of x in y 1.989 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.989 * [taylor]: Taking taylor expansion of y in y 1.990 * [taylor]: Taking taylor expansion of (pow (neg (+ (* 2 (/ 1 x)) (/ 1 y))) 3) in x 1.990 * [taylor]: Taking taylor expansion of (neg (+ (* 2 (/ 1 x)) (/ 1 y))) in x 1.990 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 x)) (/ 1 y)) in x 1.990 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.990 * [taylor]: Taking taylor expansion of 2 in x 1.990 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.990 * [taylor]: Taking taylor expansion of x in x 1.990 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.990 * [taylor]: Taking taylor expansion of y in x 1.990 * [taylor]: Taking taylor expansion of (pow (neg (+ (* 2 (/ 1 x)) (/ 1 y))) 3) in x 1.990 * [taylor]: Taking taylor expansion of (neg (+ (* 2 (/ 1 x)) (/ 1 y))) in x 1.990 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 x)) (/ 1 y)) in x 1.990 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.990 * [taylor]: Taking taylor expansion of 2 in x 1.990 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.990 * [taylor]: Taking taylor expansion of x in x 1.990 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.990 * [taylor]: Taking taylor expansion of y in x 1.990 * [taylor]: Taking taylor expansion of -8 in y 1.990 * [taylor]: Taking taylor expansion of (neg (* 12 (/ 1 y))) in y 1.990 * [taylor]: Taking taylor expansion of (* 12 (/ 1 y)) in y 1.990 * [taylor]: Taking taylor expansion of 12 in y 1.990 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.990 * [taylor]: Taking taylor expansion of y in y 1.991 * [taylor]: Taking taylor expansion of (neg (* 6 (/ 1 (pow y 2)))) in y 1.991 * [taylor]: Taking taylor expansion of (* 6 (/ 1 (pow y 2))) in y 1.991 * [taylor]: Taking taylor expansion of 6 in y 1.991 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.991 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.991 * [taylor]: Taking taylor expansion of y in y 1.992 * [taylor]: Taking taylor expansion of (neg (/ 1 (pow y 3))) in y 1.992 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.992 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.992 * [taylor]: Taking taylor expansion of y in y 1.992 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 1.992 * [approximate]: Taking taylor expansion of (+ (* 2 x) y) in (x y) around 0 1.992 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in y 1.992 * [taylor]: Taking taylor expansion of (* 2 x) in y 1.992 * [taylor]: Taking taylor expansion of 2 in y 1.992 * [taylor]: Taking taylor expansion of x in y 1.992 * [taylor]: Taking taylor expansion of y in y 1.992 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in x 1.992 * [taylor]: Taking taylor expansion of (* 2 x) in x 1.992 * [taylor]: Taking taylor expansion of 2 in x 1.992 * [taylor]: Taking taylor expansion of x in x 1.992 * [taylor]: Taking taylor expansion of y in x 1.992 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in x 1.993 * [taylor]: Taking taylor expansion of (* 2 x) in x 1.993 * [taylor]: Taking taylor expansion of 2 in x 1.993 * [taylor]: Taking taylor expansion of x in x 1.993 * [taylor]: Taking taylor expansion of y in x 1.993 * [taylor]: Taking taylor expansion of y in y 1.993 * [taylor]: Taking taylor expansion of 2 in y 1.993 * [taylor]: Taking taylor expansion of 0 in y 1.993 * [taylor]: Taking taylor expansion of 0 in y 1.993 * [approximate]: Taking taylor expansion of (+ (* 2 (/ 1 x)) (/ 1 y)) in (x y) around 0 1.993 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 x)) (/ 1 y)) in y 1.993 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 1.993 * [taylor]: Taking taylor expansion of 2 in y 1.993 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.993 * [taylor]: Taking taylor expansion of x in y 1.993 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.993 * [taylor]: Taking taylor expansion of y in y 1.993 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 x)) (/ 1 y)) in x 1.993 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.993 * [taylor]: Taking taylor expansion of 2 in x 1.993 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.993 * [taylor]: Taking taylor expansion of x in x 1.993 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.993 * [taylor]: Taking taylor expansion of y in x 1.993 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 x)) (/ 1 y)) in x 1.993 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.993 * [taylor]: Taking taylor expansion of 2 in x 1.993 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.993 * [taylor]: Taking taylor expansion of x in x 1.993 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.993 * [taylor]: Taking taylor expansion of y in x 1.994 * [taylor]: Taking taylor expansion of 2 in y 1.994 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.994 * [taylor]: Taking taylor expansion of y in y 1.994 * [taylor]: Taking taylor expansion of 0 in y 1.994 * [taylor]: Taking taylor expansion of 0 in y 1.994 * [taylor]: Taking taylor expansion of 0 in y 1.995 * [approximate]: Taking taylor expansion of (neg (+ (* 2 (/ 1 x)) (/ 1 y))) in (x y) around 0 1.995 * [taylor]: Taking taylor expansion of (neg (+ (* 2 (/ 1 x)) (/ 1 y))) in y 1.995 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 x)) (/ 1 y)) in y 1.995 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 1.995 * [taylor]: Taking taylor expansion of 2 in y 1.995 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.995 * [taylor]: Taking taylor expansion of x in y 1.995 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.995 * [taylor]: Taking taylor expansion of y in y 1.995 * [taylor]: Taking taylor expansion of (neg (+ (* 2 (/ 1 x)) (/ 1 y))) in x 1.995 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 x)) (/ 1 y)) in x 1.995 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.995 * [taylor]: Taking taylor expansion of 2 in x 1.995 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.995 * [taylor]: Taking taylor expansion of x in x 1.995 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.995 * [taylor]: Taking taylor expansion of y in x 1.995 * [taylor]: Taking taylor expansion of (neg (+ (* 2 (/ 1 x)) (/ 1 y))) in x 1.995 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 x)) (/ 1 y)) in x 1.995 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.995 * [taylor]: Taking taylor expansion of 2 in x 1.995 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.995 * [taylor]: Taking taylor expansion of x in x 1.995 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.995 * [taylor]: Taking taylor expansion of y in x 1.995 * [taylor]: Taking taylor expansion of (neg 2) in y 1.995 * [taylor]: Taking taylor expansion of 2 in y 1.995 * [taylor]: Taking taylor expansion of (neg (/ 1 y)) in y 1.995 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.995 * [taylor]: Taking taylor expansion of y in y 1.996 * [taylor]: Taking taylor expansion of 0 in y 1.996 * [taylor]: Taking taylor expansion of 0 in y 1.996 * [taylor]: Taking taylor expansion of 0 in y 1.996 * * * [progress]: simplifying candidates 1.997 * [simplify]: Simplifying using # : (log (cbrt (pow (+ (+ x y) x) 3))) (exp (cbrt (pow (+ (+ x y) x) 3))) (cbrt (pow (* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x))) 3)) (cbrt (pow (cbrt (+ (+ x y) x)) 3)) (cbrt (pow (sqrt (+ (+ x y) x)) 3)) (cbrt (pow (sqrt (+ (+ x y) x)) 3)) (cbrt (pow 1 3)) (cbrt (pow (+ (+ x y) x) 3)) (cbrt (pow 1 3)) (cbrt (pow (+ (+ x y) x) 3)) (cbrt (pow 1 3)) (cbrt (pow (+ (+ x y) x) 3)) (cbrt (* (+ (+ x y) x) (+ (+ x y) x))) (cbrt (+ (+ x y) x)) (cbrt (* (cbrt (pow (+ (+ x y) x) 3)) (cbrt (pow (+ (+ x y) x) 3)))) (cbrt (cbrt (pow (+ (+ x y) x) 3))) (cbrt (pow (* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x))) 3)) (cbrt (pow (cbrt (+ (+ x y) x)) 3)) (cbrt (pow (sqrt (+ (+ x y) x)) 3)) (cbrt (pow (sqrt (+ (+ x y) x)) 3)) (cbrt (pow 1 3)) (cbrt (pow (+ (+ x y) x) 3)) (cbrt (pow 1 3)) (cbrt (pow (+ (+ x y) x) 3)) (cbrt (pow 1 3)) (cbrt (pow (+ (+ x y) x) 3)) (cbrt (+ (+ x y) x)) (cbrt (* (+ (+ x y) x) (+ (+ x y) x))) (cbrt (sqrt (pow (+ (+ x y) x) 3))) (cbrt (sqrt (pow (+ (+ x y) x) 3))) (cbrt 1) (cbrt (pow (+ (+ x y) x) 3)) (cbrt (pow (+ (+ x y) x) (/ 3 2))) (cbrt (pow (+ (+ x y) x) (/ 3 2))) (cbrt (pow (+ (pow (+ x y) 3) (pow x 3)) 3)) (cbrt (pow (+ (* (+ x y) (+ x y)) (- (* x x) (* (+ x y) x))) 3)) (cbrt (pow (- (* (+ x y) (+ x y)) (* x x)) 3)) (cbrt (pow (- (+ x y) x) 3)) (* (cbrt (cbrt (pow (+ (+ x y) x) 3))) (cbrt (cbrt (pow (+ (+ x y) x) 3)))) (cbrt (cbrt (pow (+ (+ x y) x) 3))) (* (* (cbrt (pow (+ (+ x y) x) 3)) (cbrt (pow (+ (+ x y) x) 3))) (cbrt (pow (+ (+ x y) x) 3))) (sqrt (cbrt (pow (+ (+ x y) x) 3))) (sqrt (cbrt (pow (+ (+ x y) x) 3))) (* (log (+ (+ x y) x)) 3) (* (log (+ (+ x y) x)) 3) (* 1 3) (pow (+ (+ x y) x) (* (cbrt 3) (cbrt 3))) (pow (+ (+ x y) x) (sqrt 3)) (pow (+ (+ x y) x) 1) (pow (* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x))) 3) (pow (cbrt (+ (+ x y) x)) 3) (pow (sqrt (+ (+ x y) x)) 3) (pow (sqrt (+ (+ x y) x)) 3) (pow 1 3) (pow (+ (+ x y) x) 3) (pow 1 3) (pow (+ (+ x y) x) 3) (pow 1 3) (pow (+ (+ x y) x) 3) (* (+ (+ x y) x) (+ (+ x y) x)) (log (pow (+ (+ x y) x) 3)) (exp (pow (+ (+ x y) x) 3)) (* (cbrt (pow (+ (+ x y) x) 3)) (cbrt (pow (+ (+ x y) x) 3))) (cbrt (pow (+ (+ x y) x) 3)) (* (* (pow (+ (+ x y) x) 3) (pow (+ (+ x y) x) 3)) (pow (+ (+ x y) x) 3)) (pow (* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x))) 3) (pow (cbrt (+ (+ x y) x)) 3) (pow (sqrt (+ (+ x y) x)) 3) (pow (sqrt (+ (+ x y) x)) 3) (pow 1 3) (pow (+ (+ x y) x) 3) (pow 1 3) (pow (+ (+ x y) x) 3) (pow 1 3) (pow (+ (+ x y) x) 3) (pow (+ (pow (+ x y) 3) (pow x 3)) 3) (pow (+ (* (+ x y) (+ x y)) (- (* x x) (* (+ x y) x))) 3) (pow (- (* (+ x y) (+ x y)) (* x x)) 3) (pow (- (+ x y) x) 3) (* (+ (+ x y) x) (+ (+ x y) x)) (sqrt (pow (+ (+ x y) x) 3)) (sqrt (pow (+ (+ x y) x) 3)) (pow (+ (+ x y) x) (/ 3 2)) (pow (+ (+ x y) x) (/ 3 2)) (* (* (exp x) (exp y)) (exp x)) (* (exp (+ x y)) (exp x)) (log (+ (+ x y) x)) (exp (+ (+ x y) x)) (* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x))) (cbrt (+ (+ x y) x)) (* (* (+ (+ x y) x) (+ (+ x y) x)) (+ (+ x y) x)) (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)) (+ (pow (+ x y) 3) (pow x 3)) (+ (* (+ x y) (+ x y)) (- (* x x) (* (+ x y) x))) (- (* (+ x y) (+ x y)) (* x x)) (- (+ x y) x) (+ (+ x y) x) (+ (+ x y) x) (+ y x) (+ (* 2 x) y) (+ (* 2 x) y) (neg (+ (* 2 (* x (cbrt -1))) (* y (cbrt -1)))) (+ (* 6 (* x (pow y 2))) (+ (* 12 (* (pow x 2) y)) (* 8 (pow x 3)))) (+ (* 6 (* x (pow y 2))) (+ (* 12 (* (pow x 2) y)) (pow y 3))) (+ (* 6 (* x (pow y 2))) (+ (* 12 (* (pow x 2) y)) (pow y 3))) (+ (* 2 x) y) (+ (* 2 x) y) (+ (* 2 x) y) 2.000 * * [simplify]: iteration 0 : 100 enodes (cost 992 ) 2.020 * * [simplify]: iteration 1 : 244 enodes (cost 789 ) 2.082 * * [simplify]: iteration 2 : 810 enodes (cost 732 ) 2.632 * * [simplify]: iteration 3 : 4837 enodes (cost 701 ) 4.364 * * [simplify]: iteration done : 5000 enodes (cost 701 ) 4.364 * [simplify]: Simplified to: (log (+ (+ y x) x)) (exp (+ (+ y x) x)) (cbrt (pow (+ (+ y x) x) 2)) (cbrt (+ (+ y x) x)) (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)) 1 (+ (* 2 x) y) 1 (+ (* 2 x) y) 1 (+ (* 2 x) y) (cbrt (pow (+ (+ y x) x) 2)) (cbrt (+ (+ y x) x)) (cbrt (pow (+ (+ y x) x) 2)) (cbrt (+ (+ y x) x)) (cbrt (pow (+ (+ y x) x) 2)) (cbrt (+ (+ y x) x)) (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)) 1 (+ (* 2 x) y) 1 (+ (* 2 x) y) 1 (+ (* 2 x) y) (cbrt (+ (+ y x) x)) (cbrt (pow (+ (+ y x) x) 2)) (cbrt (sqrt (pow (+ (+ x y) x) 3))) (cbrt (sqrt (pow (+ (+ x y) x) 3))) 1 (+ (* 2 x) y) (cbrt (pow (+ (+ y x) x) 3/2)) (cbrt (pow (+ (+ y x) x) 3/2)) (+ (pow x 3) (pow (+ x y) 3)) (+ (* (+ y x) (+ y 0)) (pow x 2)) (* (+ y 0) (+ (* 2 x) y)) (+ y 0) (cbrt (pow (+ (+ y x) x) 2)) (cbrt (+ (+ y x) x)) (pow (+ (+ y x) x) 3) (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)) (log (pow (+ (+ x y) x) 3)) (log (pow (+ (+ x y) x) 3)) 3 (pow (+ (+ x y) x) (* (cbrt 3) (cbrt 3))) (pow (+ (+ x y) x) (sqrt 3)) (+ (* 2 x) y) (pow (+ (+ y x) x) 2) (+ (* 2 x) y) (pow (sqrt (+ (+ x y) x)) 3) (pow (sqrt (+ (+ x y) x)) 3) 1 (pow (+ (+ y x) x) 3) 1 (pow (+ (+ y x) x) 3) 1 (pow (+ (+ y x) x) 3) (pow (+ (+ y x) x) 2) (log (pow (+ (+ x y) x) 3)) (exp (pow (+ (+ x y) x) 3)) (pow (+ (+ y x) x) 2) (+ (* 2 x) y) (pow (pow (+ (+ y x) x) 3) 3) (pow (+ (+ y x) x) 2) (+ (* 2 x) y) (pow (sqrt (+ (+ x y) x)) 3) (pow (sqrt (+ (+ x y) x)) 3) 1 (pow (+ (+ y x) x) 3) 1 (pow (+ (+ y x) x) 3) 1 (pow (+ (+ y x) x) 3) (pow (+ (pow (+ x y) 3) (pow x 3)) 3) (pow (+ (* (+ y x) (+ y 0)) (pow x 2)) 3) (pow (* (+ y 0) (+ (* 2 x) y)) 3) (pow (+ y 0) 3) (pow (+ (+ y x) x) 2) (sqrt (pow (+ (+ x y) x) 3)) (sqrt (pow (+ (+ x y) x) 3)) (pow (+ (+ y x) x) 3/2) (pow (+ (+ y x) x) 3/2) (exp (+ (+ y x) x)) (exp (+ (+ y x) x)) (log (+ (+ y x) x)) (exp (+ (+ y x) x)) (cbrt (pow (+ (+ y x) x) 2)) (cbrt (+ (+ y x) x)) (pow (+ (+ y x) x) 3) (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)) (+ (pow x 3) (pow (+ x y) 3)) (+ (* (+ y x) (+ y 0)) (pow x 2)) (* (+ y 0) (+ (* 2 x) y)) (+ y 0) (+ (* 2 x) y) (+ (* 2 x) y) (+ y x) (+ (* 2 x) y) (+ (* 2 x) y) (* (cbrt -1) (- (* -2 x) y)) (+ (* 8 (pow x 3)) (* y (+ (* 12 (* x x)) (* (* 6 x) y)))) (+ (pow y 3) (* y (+ (* 12 (* x x)) (* (* 6 x) y)))) (+ (pow y 3) (* y (+ (* 12 (* x x)) (* (* 6 x) y)))) (+ (* 2 x) y) (+ (* 2 x) y) (+ (* 2 x) y) 4.365 * * * [progress]: adding candidates to table 4.446 * * [progress]: iteration 3 / 4 4.446 * * * [progress]: picking best candidate 4.448 * * * * [pick]: Picked # 4.448 * * * [progress]: localizing error 4.452 * * * [progress]: generating rewritten candidates 4.452 * * * [progress]: generating series expansions 4.452 * * * [progress]: simplifying candidates 4.452 * [simplify]: Simplifying using # : 4.453 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 4.453 * * [simplify]: iteration done : 0 enodes (cost 0 ) 4.453 * [simplify]: Simplified to: 4.453 * * * [progress]: adding candidates to table 4.453 * [progress]: [Phase 3 of 3] Extracting. 4.455 * [simplify]: Simplifying using # : (+ (* 2 x) y) 4.455 * * [simplify]: iteration 0 : 5 enodes (cost 5 ) 4.455 * * [simplify]: iteration 1 : 7 enodes (cost 5 ) 4.456 * * [simplify]: iteration done : 7 enodes (cost 5 ) 4.456 * [simplify]: Simplified to: (+ (* 2 x) y) 4.979 * [regime-testing]: End program error score: 0 5.042 * [regime-testing]: Target error score: 0